Finally we mention earlier related research. The `chiral fermion parity' in the \(m = 3, 4\)  models is already well known. The paper [1]} also obtains some of our results on boundary states for a subset of the infinite series, with a different choice of normalisation. The main novelties of this paper are: a uniform treatment of all fermionic minimal models, the normalisation, the interplay between boundary states and symmetries, and the perspective of SPT phases.
